Question

9. One of the parallel sides of a trapezium is thrice
the other and the height is half the sum of the
parallel sides. If the area of the trapezium is
400 cm', find the lengths of its parallel sides.​

Answer 1

Step-by-step explanation:

let is parallel side be x and y

x =3y [One of the parallel sides of a trapezium is thrice the other]

h = ½(x + y) [height is half the sum of the

parallel sides]

area of trapezium= ½(sum of parallel sides)*height

400 =½(x + y)*½(x + y)

400 = ¼(x + y)

400 * 4 = (x + y)

1600 = x + y

1600 =3y + y

1600 = 4y

1600/4 = y

400 = y

x = 3y

x =3 * 400

x = 1200